Table 2.
Posterior Summaries of Interpretable Parameters Derived from the Hierarchical Bayesian Model
| Parameter | Mean | SD | 2.5% | 97.5% |
|---|---|---|---|---|
| Global means of superpixel parameters across superpixels | ||||
| Population intercept | 73.05 | 1.91 | 69.31 | 76.77 |
| Random intercept SD | 14.84 | 0.81 | 13.39 | 16.56 |
| Population slope | −0.357 | 0.041 | −0.438 | −0.277 |
| Random slope SD | 0.845 | 0.048 | 0.757 | 0.945 |
| Correlation between random intercepts and slopes | −0.266 | 0.032 | −0.328 | −0.202 |
| Mean of random residual SD | 1.947 | 0.038 | 1.874 | 2.024 |
| SD of random residual SD | 0.741 | 0.031 | 0.682 | 0.805 |
| Global SDs of superpixel parameters across superpixels | ||||
| Population intercept | 13.29 | 1.37 | 10.93 | 16.22 |
| Random intercept SD | 5.50 | 0.77 | 4.25 | 7.31 |
| Population slope | 0.266 | 0.030 | 0.214 | 0.332 |
| Random slope SD | 0.317 | 0.046 | 0.243 | 0.422 |
| Correlation between random intercepts and slopes | 0.198 | 0.021 | 0.161 | 0.243 |
| Mean of random residual SD | 0.249 | 0.029 | 0.199 | 0.311 |
| SD of random residual SD | 0.171 | 0.029 | 0.122 | 0.235 |
| Correlations of superpixel parameters | ||||
| Population intercept and random intercept SD | 0.812 | 0.041 | 0.715 | 0.875 |
| Population intercept and random slope SD | 0.739 | 0.056 | 0.612 | 0.829 |
| Random intercept SD and random slope SD | 0.845 | 0.043 | 0.747 | 0.914 |
SD = standard deviation.